Math, asked by 20100246110072, 8 months ago

prove that cos(pi/3+x)=(cos(x)-√3sin(x))/2 using sum rule​

Answers

Answered by Mohit9062Y
1

Answer:

We know that,

cos

(

A

+

B

)

=

cos

A

cos

B

sin

A

sin

B

Substituting ,

A

=

π

3

and

B

=

x

,we get

cos

(

π

3

+

x

)

=

cos

(

π

3

)

cos

x

sin

(

π

3

)

sin

x

cos

(

π

3

+

x

)

=

1

2

cos

x

3

2

sin

x

cos

(

π

3

+

x

)

=

1

2

(

cos

x

3

sin

x

)

So,

Cos (pi / 3 + x) = 1/2 (cos x root 3 sin x), is not true.

i.e.

cos

(

π

3

+

x

)

=

1

2

(

cos

x

3

sin

x

)

, is not true .

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